What is the slope of (4x+4y)^3=64x^3+64y^3 ?

The slope of (4x+4y)^3=64x^3+64y^3 is -(y(2x+y))/(x(x+2y))

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slope of (4x+4y)^3=64x^3+64y^3

slope

(4 x + 4 y)^{3} = 64 x^{3} + 64 y^{3}

- \frac{y ( 2 x + y )}{x ( x + 2 y )}

Solution steps

(4 x + 4 y)^{3} = 64 x^{3} + 64 y^{3}

Use implicit differentiation to find the slope of

(4 x + 4 y)^{3} = 64 x^{3} + 64 y^{3}

Implicit Derivative

\frac{d y}{d x}

(4 x + 4 y)^{3} = 64 x^{3} + 64 y^{3} : - \frac{y ( 2 x + y )}{x ( x + 2 y )}

- \frac{y ( 2 x + y )}{x ( x + 2 y )}

What is the slope of (4x+4y)^3=64x^3+64y^3 ?
The slope of (4x+4y)^3=64x^3+64y^3 is -(y(2x+y))/(x(x+2y))